Theory Metis

(*  Title:      HOL/Metis.thy
    Author:     Lawrence C. Paulson, Cambridge University Computer Laboratory
    Author:     Jia Meng, Cambridge University Computer Laboratory and NICTA
    Author:     Jasmin Blanchette, TU Muenchen
*)

header {* Metis Proof Method *}

theory Metis
imports ATP
keywords "try0" :: diag
uses "~~/src/Tools/Metis/metis.ML"
     ("Tools/Metis/metis_generate.ML")
     ("Tools/Metis/metis_reconstruct.ML")
     ("Tools/Metis/metis_tactic.ML")
     ("Tools/try0.ML")
begin

subsection {* Literal selection and lambda-lifting helpers *}

definition select :: "'a => 'a" where
[no_atp]: "select = (λx. x)"

lemma not_atomize: "(¬ A ==> False) ≡ Trueprop A"
by (cut_tac atomize_not [of "¬ A"]) simp

lemma atomize_not_select: "(A ==> select False) ≡ Trueprop (¬ A)"
unfolding select_def by (rule atomize_not)

lemma not_atomize_select: "(¬ A ==> select False) ≡ Trueprop A"
unfolding select_def by (rule not_atomize)

lemma select_FalseI: "False ==> select False" by simp

definition lambda :: "'a => 'a" where
[no_atp]: "lambda = (λx. x)"

lemma eq_lambdaI: "x ≡ y ==> x ≡ lambda y"
unfolding lambda_def by assumption


subsection {* Metis package *}

use "Tools/Metis/metis_generate.ML"
use "Tools/Metis/metis_reconstruct.ML"
use "Tools/Metis/metis_tactic.ML"

setup {* Metis_Tactic.setup *}

hide_const (open) fFalse fTrue fNot fconj fdisj fimplies fequal select lambda
hide_fact (open) fFalse_def fTrue_def fNot_def fconj_def fdisj_def fimplies_def
    fequal_def select_def not_atomize atomize_not_select not_atomize_select
    select_FalseI lambda_def eq_lambdaI


subsection {* Try0 *}

use "Tools/try0.ML"

setup {* Try0.setup *}

end